Published April 18, 2016
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Modeling multi-particle complexes in stochastic chemical systems
- Creators
- Morrison, Muir J.
- Kinney, Justin B.
Abstract
Large complexes of classical particles play central roles in biology, in polymer physics, and in other disciplines. However, physics currently lacks mathematical methods for describing such complexes in terms of component particles, interaction energies, and assembly rules. Here we describe a Fock space structure that addresses this need, as well as diagrammatic methods that facilitate the use of this formalism. These methods can dramatically simplify the equations governing both equilibrium and non-equilibrium stochastic chemical systems. A mathematical relationship between the set of all complexes and a list of rules for complex assembly is also identified.
Additional Information
The copyright holder for this preprint is the author/funder. It is made available under a CC-BY-ND 4.0 International license. Dated: March 23, 2016. We thank Rob Phillips for inspiring our work on this problem, as well as Jané Kondev, Ilya Nemenman, and Bruce Stillman for helpful discussions. The work of MJM was supported by NSF Graduate Fellowship DGE-1144469. JBK acknowledges support from the Simons Center for Quantitative Biology at Cold Spring Harbor Laboratory.Attached Files
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Additional details
- Eprint ID
- 66232
- Resolver ID
- CaltechAUTHORS:20160418-091105140
- DGE-1144469
- NSF Graduate Research Fellowship
- Cold Spring Harbor Laboratory
- Created
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2016-04-18Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field